What is the Least Common Multiple of 92204 and 92223?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 92204 and 92223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92204 and 92223, than apply into the LCM equation.

GCF(92204,92223) = 1
LCM(92204,92223) = ( 92204 × 92223) / 1
LCM(92204,92223) = 8503329492 / 1
LCM(92204,92223) = 8503329492

Least Common Multiple (LCM) of 92204 and 92223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92204 and 92223. First we will calculate the prime factors of 92204 and 92223.

Prime Factorization of 92204

Prime Factorization of 92223

Now multiplying the highest exponent prime factors to calculate the LCM of 92204 and 92223.

LCM(92204,92223) = 2² × 7¹ × 37¹ × 89¹ × 3² × 10247¹
LCM(92204,92223) = 8503329492